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Warm up

Warm up. 1. Solve. Check the answer. –4 m – 10 = –42. 2. Solve. y 6. 9 +. = 15. 3. Write an equation and solve. A donut shop sells a refill mug for $8.95. Each refill costs $1.50. Last month Alex spent $26.95 on a mug and refills. How many refills did she buy?.

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Warm up

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  1. Warm up 1. Solve. Check the answer. –4m – 10 = –42 2. Solve. y 6 9 + = 15 3. Write an equation and solve. A donut shop sells a refill mug for $8.95. Each refill costs $1.50. Last month Alex spent $26.95 on a mug and refills. How many refills did she buy?

  2. Solving Two-Step Equations 12-1 –4m –4 = –32 –4 Course 2 Warm up Solve. Check the answer. –4m – 10 = –42 –4m – 10 = –42 + 10+10 Add 10 to both sides. –4m = –32 Divide both sides by –4. m = 8

  3. Solving Two-Step Equations 12-1 Course 2 Insert Lesson Title Here Check. –4m – 10 = –42 ? = –4(8) – 10 –42 Substitute 8 for m. ? = –32 – 10 –42 ? = 8 is a solution. –42 –42

  4. Solving Two-Step Equations 12-1 Course 2 Solve. y 6 9 + = 15 y 6 = 15 9 + – 9 –9 Subtract 9 from both sides. y 6 = 6 y 6 (6) = (6)6 Multiply both sides by 6. y = 36

  5. Solving Two-Step Equations 12-1 Course 2 A donut shop sells a refill mug for $8.95. Each refill costs $1.50. Last month Alex spent $26.95 on a mug and refills. How many refills did she buy? Let r represent the number of refills she bought. 1.5r+ 8.95 = 26.95 – 8.95–8.95 Subtract 8.95 from both sides. 1.5r = 18.00 1.5r = 18 Divide both sides by 1.5. 1.5 1.5 r = 12 Alex bought 12 refills.

  6. Warm up 1. Solve. 6x– 15 = –39 2. Solve. y -4 3 + = -15

  7. Solving Two-Step Equations 12-1 6x 6 = –24 6 Course 2 Warm up Solve. 6x– 15 = –39 6x – 15 = –39 +15+15 Add 15 to both sides. 6x = –24 Divide both sides by 6. x = -4

  8. Solving Two-Step Equations 12-1 (-4) y -4 = –18 (-4) Course 2 Warm up Solve. y -4 3 + = -15 3 + y = –15 -4 Subtract 3 from both sides. -3 -3 y = –18 -4 Multiply both sides by -4. x = 72

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